15y^2+37y-8=0

Solution for 15y^2+37y-8=0 equation:

Simplifying
15y2 + 37y + -8 = 0

Reorder the terms:
-8 + 37y + 15y2 = 0

Solving
-8 + 37y + 15y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -3y)(1 + -5y) = 0

Subproblem 1
Set the factor '(-8 + -3y)' equal to zero and attempt to solve:

Simplifying
-8 + -3y = 0

Solving
-8 + -3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -3y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3y = 0 + 8
-3y = 0 + 8

Combine like terms: 0 + 8 = 8
-3y = 8

Divide each side by '-3'.
y = -2.666666667

Simplifying
y = -2.666666667
Subproblem 2
Set the factor '(1 + -5y)' equal to zero and attempt to solve:

Simplifying
1 + -5y = 0

Solving
1 + -5y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5y = 0 + -1
-5y = 0 + -1

Combine like terms: 0 + -1 = -1
-5y = -1

Divide each side by '-5'.
y = 0.2

Simplifying
y = 0.2
Solution
y = {-2.666666667, 0.2}